{"title":"GM (1,1|α)误差的纯数值图解研究","authors":"Fu-Yuan Hsu, Chang-Jo Wu, Kun-Li Wen, John H. Wu","doi":"10.30016/JGS.200606.0009","DOIUrl":null,"url":null,"abstract":"In the GM (1,1) study, the essential problem is ”how to establish the new known model to simulation the unknown given system, and to determine the best prediction results for the given system, in the other saying, the least error between real system to simulation model”. In this study, the graphical polygon area analyses are used to estimate the error of the number of equations in Least Square Method (LSQ Method) procedure and the value for the mean square error (MSE) analyses to determine a adjustable value of α in GM(1,1|α ). There are eight kinds of different data for original system’s output to analyze.","PeriodicalId":50187,"journal":{"name":"Journal of Grey System","volume":"9 1","pages":"65-74"},"PeriodicalIF":1.0000,"publicationDate":"2006-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"The Pure Numerical Graphical Study on The Errors of GM (1,1|α)\",\"authors\":\"Fu-Yuan Hsu, Chang-Jo Wu, Kun-Li Wen, John H. Wu\",\"doi\":\"10.30016/JGS.200606.0009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the GM (1,1) study, the essential problem is ”how to establish the new known model to simulation the unknown given system, and to determine the best prediction results for the given system, in the other saying, the least error between real system to simulation model”. In this study, the graphical polygon area analyses are used to estimate the error of the number of equations in Least Square Method (LSQ Method) procedure and the value for the mean square error (MSE) analyses to determine a adjustable value of α in GM(1,1|α ). There are eight kinds of different data for original system’s output to analyze.\",\"PeriodicalId\":50187,\"journal\":{\"name\":\"Journal of Grey System\",\"volume\":\"9 1\",\"pages\":\"65-74\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2006-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Grey System\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.30016/JGS.200606.0009\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Grey System","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.30016/JGS.200606.0009","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
The Pure Numerical Graphical Study on The Errors of GM (1,1|α)
In the GM (1,1) study, the essential problem is ”how to establish the new known model to simulation the unknown given system, and to determine the best prediction results for the given system, in the other saying, the least error between real system to simulation model”. In this study, the graphical polygon area analyses are used to estimate the error of the number of equations in Least Square Method (LSQ Method) procedure and the value for the mean square error (MSE) analyses to determine a adjustable value of α in GM(1,1|α ). There are eight kinds of different data for original system’s output to analyze.
期刊介绍：
The journal is a forum of the highest professional quality for both scientists and practitioners to exchange ideas and publish new discoveries on a vast array of topics and issues in grey system. It aims to bring forth anything from either innovative to known theories or practical applications in grey system. It provides everyone opportunities to present, criticize, and discuss their findings and ideas with others. A number of areas of particular interest (but not limited) are listed as follows:
Grey mathematics-
Generator of Grey Sequences-
Grey Incidence Analysis Models-
Grey Clustering Evaluation Models-
Grey Prediction Models-
Grey Decision Making Models-
Grey Programming Models-
Grey Input and Output Models-
Grey Control-
Grey Game-
Practical Applications.
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